A note on the difference equation xn+1=a+(xn−k∑k−1i=0cixn−i)p
---Publisher, magazine: ,
Publication year: 2009
Lưu Trích dẫn Chia sẻAbstract
For the difference equation in the title with ci≥0, ∑k−1i=0ci=1 and p>0 the existence of solutions is shown, which converge monotonically to zero in case of α<−1, and to α+1 in case of α>−1. The asymptotics of the solution are determined.
Tags: rational difference equation; convergence; asymptotics
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